On a coordinate plane, a straight red line with a negative slope, labeled g of x, crosses the y-axis at (0, negative 7). A strai
ght blue line with a positive slope, labeled f of x, crosses the x-axis at (negative 1, 0) and the y-axis at (0, 2). Both lines intersect at (negative 3, negative 4). Which statement is true regarding the functions on the graph? f(–3) = g(–4) f(–4) = g(–3) f(–3) = g(–3) f(–4) = g(–4)
2 answers:
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Response:
= 270 ⇒ Previous solution
Detailed breakdown:
* Given f(x) = 7 + 4x
* Given g(x) =
* We aim to determine
- Initially, let’s calculate
∵ f(x) = 7 + 4x
∵ g(x) =
∴
- Let’s perform division of the numerator by the denominator
∵ The numerator is 7 + 4x
∵ The denominator is
∴ (7 + 4x) ÷
- Now we will change the division sign to a multiplication sign and take the reciprocal of
the fraction following the division sign
∴ (7 + 4x) ×
∴ = 2x(7 + 4x)
∴ = 14x + 8x²
- Next, substitute x with 5
∴ = 14(5) + 8(5)² = 70 + 200 = 270
∴ = 270
Answer: 0.12
Step-by-step explanation:
There are a total of 65 candy bars. Within this amount;
2 candy bars contain 300 to 350 calories
1 candy bar contains 350 to 400 calories
4 candy bars contain 400 to 450 calories
1 candy bar contains 450 to 500 calories
Thus, the overall ratio of candy bars with more than 300 calories is;
= (2 + 1 + 4 + 1) / 65
= 8/65
= 0.12
